38024828161 has 16 divisors (see below), whose sum is σ = 38860434000. Its totient is φ = 37198476288.

The previous prime is 38024828141. The next prime is 38024828201. The reversal of 38024828161 is 16182842083.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 221414400 + 37803413761 = 14880^2 + 194431^2 .

It is a cyclic number.

It is not a de Polignac number, because 38024828161 - 2⁹ = 38024827649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38024828141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9014925 + ... + 9019141.

It is an arithmetic number, because the mean of its divisors is an integer number (2428777125).

Almost surely, 2^38024828161 is an apocalyptic number.

It is an amenable number.

38024828161 is a deficient number, since it is larger than the sum of its proper divisors (835605839).

38024828161 is a wasteful number, since it uses less digits than its factorization.

38024828161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268.

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 38024828161 in words is "thirty-eight billion, twenty-four million, eight hundred twenty-eight thousand, one hundred sixty-one".